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Finding the Third Proportional to 7,674,200 and 11,086,976

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Solution

The third proportional to 7,674,200 and 11,086,976 is: 16,017,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,200 : 11,086,976 = 11,086,976 : x
  2. Step 2: Convert to fraction form
    7,674,200/11,086,976 = 11,086,976/x
  3. Step 3: Cross multiply
    7,674,200x = 11,086,976 × 11,086,976
  4. Step 4: Simplify right side
    7,674,200x = 122,921,036,824,576
  5. Step 5: Solve for x
    x = 122,921,036,824,576/7,674,200
  6. Step 6: Final answer
    x = 16,017,439.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.